An example VLATcov model is given by the heterogeneous Gaussian-like covariance model
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\(\mathbf {P}(V,\mathbf {s})(\mathbf {x},\mathbf {y}) =\sqrt{ V_{\mathbf {x}} V_{\mathbf {y}}}\frac{|\mathbf {s_x}|^{1/4} |\mathbf {s_y}|^{1/4} }{|\frac{1}{2} (\mathbf {s_x} + \mathbf {s_y})|^{1/2}}\exp \left(-\frac{1}{2}||\mathbf {x}-\mathbf {y}||^2_{[\frac{1}{2}(\mathbf {s_x}+\mathbf {s_y})]^{-1}}\right)\) 
